Question

The surface area of a square pyramid is 85 square meters. The side length of the base is 5 meters. What is the slant height?

Answer 1

Step 1: The surface area of a square pyramid = area of base + area of lateral surfaces

Step 2: Given that:

The surface area of a square pyramid $=85m^2$

Side length of base $=5m$

Step 3: The surface area of a square pyramid $=\left(5\times 5+4\times \frac{1}{2}\times 5\times h\right)$

$$\begin{gathered} 85=25+10\times h \\ 85-25=10\times h \\ 60=10\times h \\ h=6m \end{gathered}$$

Final answer: The slant height of square pyramid is $6m$.